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Finding the Third Proportional to 87,014.25 and 164,490.75

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Solution

The third proportional to 87,014.25 and 164,490.75 is: 310,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,014.25 : 164,490.75 = 164,490.75 : x
  2. Step 2: Convert to fraction form
    87,014.25/164,490.75 = 164,490.75/x
  3. Step 3: Cross multiply
    87,014.25x = 164,490.75 × 164,490.75
  4. Step 4: Simplify right side
    87,014.25x = 27,057,206,835.56
  5. Step 5: Solve for x
    x = 27,057,206,835.56/87,014.25
  6. Step 6: Final answer
    x = 310,951.45

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.